Jobava has played for the Georgian national in the Chess Olympiad since 2000.[17] He won the individual gold medal in 2004, scoring 8½/10 points. In 2010, he defeated the world's number one player Magnus Carlsen in the Georgia-Norway match. In 2016, he dazzled the chess world, including wins over the former world champions Ruslan Ponomariov and Veselin Topalov, and won the individual gold medal for the best first board.[18]